Find the polynomial function with integer coefficients that has given zeros

The video tutorial explains how to write polynomials from given zeros, emphasizing the transition from zeros to factors. It highlights common mistakes in polynomial multiplication, particularly when using the difference of two squares method. The instructor guides through the correct application of this method and demonstrates the final steps in calculating the polynomial, ensuring all terms are multiplied correctly.

What is the relationship between zeros and factors in a polynomial?

Explain the process of converting factors to a polynomial.

What mistake did the student make when multiplying the terms?

Describe the difference of two squares and how it applies to this problem.

How do you apply the distributive property when multiplying polynomials?

What is the final form of the polynomial after combining like terms?

What should students remember to include in their homework based on this lesson?